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Finding the Fourth Proportional to 8,940.96, 13,412.16 and 2,784.96

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Solution

The fourth proportional to 8,940.96, 13,412.16 and 2,784.96 is: 4,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.96 : 13,412.16 = 2,784.96 : x
  2. Step 2: Convert to fraction form
    8,940.96/13,412.16 = 2,784.96/x
  3. Step 3: Cross multiply
    8,940.96x = 13,412.16 × 2,784.96
  4. Step 4: Simplify right side
    8,940.96x = 37,352,329.11
  5. Step 5: Solve for x
    x = 37,352,329.11/8,940.96
  6. Step 6: Final answer
    x = 4,177.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.